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  2. List of PSPACE-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_PSPACE-complete...

    Word problem for linear bounded automata [25] Word problem for quasi-realtime automata [26] Emptiness problem for a nondeterministic two-way finite state automaton [27] [28] Equivalence problem for nondeterministic finite automata [29] [30] Word problem and emptiness problem for non-erasing stack automata [31]

  3. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    NP-hard problems are those at least as hard as NP problems; i.e., all NP problems can be reduced (in polynomial time) to them. NP-hard problems need not be in NP; i.e., they need not have solutions verifiable in polynomial time. For instance, the Boolean satisfiability problem is NP-complete by the Cook–Levin theorem, so any instance of any ...

  4. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    Route inspection problem (also called Chinese postman problem) for mixed graphs (having both directed and undirected edges). The program is solvable in polynomial time if the graph has all undirected or all directed edges. Variants include the rural postman problem. [3]: ND25, ND27 Clique cover problem [2] [3]: GT17

  5. NP-completeness - Wikipedia

    en.wikipedia.org/wiki/NP-completeness

    A polynomial-time problem can be very difficult to solve in practice if the polynomial's degree or constants are large enough. In addition, information-theoretic security provides cryptographic methods that cannot be broken even with unlimited computing power. "A large-scale quantum computer would be able to efficiently solve NP-complete problems."

  6. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    Here’s another problem that’s very easy to write, but hard to solve. All you need to recall is the definition of rational numbers. Rational numbers can be written in the form p/q, where p and ...

  7. PSPACE-complete - Wikipedia

    en.wikipedia.org/wiki/PSPACE-complete

    In computational complexity theory, a decision problem is PSPACE-complete if it can be solved using an amount of memory that is polynomial in the input length (polynomial space) and if every other problem that can be solved in polynomial space can be transformed to it in polynomial time. The problems that are PSPACE-complete can be thought of ...

  8. Mean payoff game - Wikipedia

    en.wikipedia.org/wiki/Mean_Payoff_Game

    The problem of solving parity games can be polynomial-time reduced to solving mean payoff games. [7] Solving mean payoff games can be shown to be polynomial-time equivalent to many core problems concerning tropical linear programming. [8] Another closely related game to the mean payoff game is the energy game, in which the Maximizer tries to ...

  9. Ricochet Robots - Wikipedia

    en.wikipedia.org/wiki/Ricochet_Robots

    The study, argues that Ricochet Robots is a good game to analyze problem solving techniques of humans and computers. [1] Although Ricochet Robots has an initially exponential increase in complexity, it is solvable by polynomial time algorithms.